Answer
$y=\dfrac{3x-8}{5}$
Work Step by Step
Using the properties of equality, in terms of $
y
$, the given equation, $
3x-5y=8
$, is equivalent to
\begin{array}{l}
-5y=8-3x
\\\\
y=\dfrac{8-3x}{-5}
\\\\
y=-\dfrac{8-3x}{5}
\\\\
y=\dfrac{3x-8}{5}
.\end{array}